The perimeter of a rectangle is 80 cm and its area is 375 cm². What is the difference between the length and the breadth of the rectangle?

10 cm

Perimeter of rectangle = 80 cm 

Area of rectangle = 375 cm²

We know that,

Perimeter of rectangle = 2(l + b) 

Area of rectangle = length × breadth 

 Let the length and breadth of rectangle be l and b 

= perimeter = 80 

= 2(l + b) = 80 

= l + b = 40 ----(a)

= area = 375 

= l × b = 375 -----(b)

= From (a) and (b) 

= l = 25 , b = 15 

= so, difference between the length and breadth = 25 - 15 = 10